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Why does Kunen assume non-emptiness of the model for relative consistency proofs?

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#logic #set-theory #first-order-logic #predicate-logic
142
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Examples of Exists-Forall-decidable first-order theories that are not overall decidable?

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#logic #first-order-logic #predicate-logic #quantifiers #decidability
291
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What are the closure properties of spectra?

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#logic #first-order-logic #predicate-logic #model-theory
125
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A paper states $\exists^*\forall^*$ modulo Linear Integer arithmetic (LIA) is undecidable, but I I thought LIA on its own was already decidable

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#logic #first-order-logic #predicate-logic #quantifiers #decidability
64
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Why is this sentence a syntactic consequence of another one?

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#logic #first-order-logic #predicate-logic #lambda-calculus
382
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If $X$ is a spectrum then $X^2$ is a spectrum

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#logic #first-order-logic #predicate-logic #model-theory
56
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Prenex normal form and empty set

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#logic #predicate-logic #quantifiers
57
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Is it possible for a predicate to be true for some subsets of a larger set and not true for other subsets?

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#discrete-mathematics #logic #first-order-logic #predicate-logic
47
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Expressing same size each equivalence class and this size is the same in first order logic

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#logic #first-order-logic #predicate-logic
122
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How do I express that I iterate over all instances of my knowledge base to assign any combination of variables to in logic formula to find true ones?

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#logic #first-order-logic #predicate-logic #quantifiers #fuzzy-logic
276
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Conditionals and Implications

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#logic #proof-writing #propositional-calculus #predicate-logic
44
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Relativizing with respect to $P$ and $\neg P$

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#logic #first-order-logic #predicate-logic #model-theory
464
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Using logical implication to analyse mathematics

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#logic #propositional-calculus #predicate-logic
101
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Why can't we have generalization as an axiom in Hilbert style predicate logic?

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#logic #predicate-logic
38
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Correct form of Logical Exprerssion

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#discrete-mathematics #logic #predicate-logic

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